Question

example for partially ordered set​

Answer 1

Step-by-step explanation:

Check the attachment first.

A lattice is a poset (X,R) with the properties • X has an upper bound 1 and a lower bound 0; • for any two elements x,y ∈ X, there is a least upper bound and a greatest lower bound of the set {x,y}.

A simple example of a poset which is not a lattice is the poset.

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